Difference between revisions of "2001 IMO Shortlist Problems/G5"
(New page: == Problem == Let <math>ABC</math> be an acute triangle. Let <math>DAC,EAB</math>, and <math>FBC</math> be isosceles triangles exterior to <math>ABC</math>, with <math>DA = DC, EA = EB</m...) |
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Latest revision as of 17:47, 20 August 2008
Problem
Let be an acute triangle. Let
, and
be isosceles triangles exterior to
, with
, and
, such that

Let be the intersection of lines
and
, let
be the intersection of
and
, and let
be the intersection of
and
. Find, with proof, the value of the sum

Solution
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